LAPACK 3.11.0
LAPACK: Linear Algebra PACKage
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dckglm.f
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1*> \brief \b DCKGLM
2*
3* =========== DOCUMENTATION ===========
4*
5* Online html documentation available at
6* http://www.netlib.org/lapack/explore-html/
7*
8* Definition:
9* ===========
10*
11* SUBROUTINE DCKGLM( NN, MVAL, PVAL, NVAL, NMATS, ISEED, THRESH,
12* NMAX, A, AF, B, BF, X, WORK, RWORK, NIN, NOUT,
13* INFO )
14*
15* .. Scalar Arguments ..
16* INTEGER INFO, NIN, NMATS, NMAX, NN, NOUT
17* DOUBLE PRECISION THRESH
18* ..
19* .. Array Arguments ..
20* INTEGER ISEED( 4 ), MVAL( * ), NVAL( * ), PVAL( * )
21* DOUBLE PRECISION A( * ), AF( * ), B( * ), BF( * ), RWORK( * ),
22* $ WORK( * ), X( * )
23* ..
24*
25*
26*> \par Purpose:
27* =============
28*>
29*> \verbatim
30*>
31*> DCKGLM tests DGGGLM - subroutine for solving generalized linear
32*> model problem.
33*> \endverbatim
34*
35* Arguments:
36* ==========
37*
38*> \param[in] NN
39*> \verbatim
40*> NN is INTEGER
41*> The number of values of N, M and P contained in the vectors
42*> NVAL, MVAL and PVAL.
43*> \endverbatim
44*>
45*> \param[in] MVAL
46*> \verbatim
47*> MVAL is INTEGER array, dimension (NN)
48*> The values of the matrix column dimension M.
49*> \endverbatim
50*>
51*> \param[in] PVAL
52*> \verbatim
53*> PVAL is INTEGER array, dimension (NN)
54*> The values of the matrix column dimension P.
55*> \endverbatim
56*>
57*> \param[in] NVAL
58*> \verbatim
59*> NVAL is INTEGER array, dimension (NN)
60*> The values of the matrix row dimension N.
61*> \endverbatim
62*>
63*> \param[in] NMATS
64*> \verbatim
65*> NMATS is INTEGER
66*> The number of matrix types to be tested for each combination
67*> of matrix dimensions. If NMATS >= NTYPES (the maximum
68*> number of matrix types), then all the different types are
69*> generated for testing. If NMATS < NTYPES, another input line
70*> is read to get the numbers of the matrix types to be used.
71*> \endverbatim
72*>
73*> \param[in,out] ISEED
74*> \verbatim
75*> ISEED is INTEGER array, dimension (4)
76*> On entry, the seed of the random number generator. The array
77*> elements should be between 0 and 4095, otherwise they will be
78*> reduced mod 4096, and ISEED(4) must be odd.
79*> On exit, the next seed in the random number sequence after
80*> all the test matrices have been generated.
81*> \endverbatim
82*>
83*> \param[in] THRESH
84*> \verbatim
85*> THRESH is DOUBLE PRECISION
86*> The threshold value for the test ratios. A result is
87*> included in the output file if RESID >= THRESH. To have
88*> every test ratio printed, use THRESH = 0.
89*> \endverbatim
90*>
91*> \param[in] NMAX
92*> \verbatim
93*> NMAX is INTEGER
94*> The maximum value permitted for M or N, used in dimensioning
95*> the work arrays.
96*> \endverbatim
97*>
98*> \param[out] A
99*> \verbatim
100*> A is DOUBLE PRECISION array, dimension (NMAX*NMAX)
101*> \endverbatim
102*>
103*> \param[out] AF
104*> \verbatim
105*> AF is DOUBLE PRECISION array, dimension (NMAX*NMAX)
106*> \endverbatim
107*>
108*> \param[out] B
109*> \verbatim
110*> B is DOUBLE PRECISION array, dimension (NMAX*NMAX)
111*> \endverbatim
112*>
113*> \param[out] BF
114*> \verbatim
115*> BF is DOUBLE PRECISION array, dimension (NMAX*NMAX)
116*> \endverbatim
117*>
118*> \param[out] X
119*> \verbatim
120*> X is DOUBLE PRECISION array, dimension (4*NMAX)
121*> \endverbatim
122*>
123*> \param[out] RWORK
124*> \verbatim
125*> RWORK is DOUBLE PRECISION array, dimension (NMAX)
126*> \endverbatim
127*>
128*> \param[out] WORK
129*> \verbatim
130*> WORK is DOUBLE PRECISION array, dimension (NMAX*NMAX)
131*> \endverbatim
132*>
133*> \param[in] NIN
134*> \verbatim
135*> NIN is INTEGER
136*> The unit number for input.
137*> \endverbatim
138*>
139*> \param[in] NOUT
140*> \verbatim
141*> NOUT is INTEGER
142*> The unit number for output.
143*> \endverbatim
144*>
145*> \param[out] INFO
146*> \verbatim
147*> INFO is INTEGER
148*> = 0 : successful exit
149*> > 0 : If DLATMS returns an error code, the absolute value
150*> of it is returned.
151*> \endverbatim
152*
153* Authors:
154* ========
155*
156*> \author Univ. of Tennessee
157*> \author Univ. of California Berkeley
158*> \author Univ. of Colorado Denver
159*> \author NAG Ltd.
160*
161*> \ingroup double_eig
162*
163* =====================================================================
164 SUBROUTINE dckglm( NN, MVAL, PVAL, NVAL, NMATS, ISEED, THRESH,
165 $ NMAX, A, AF, B, BF, X, WORK, RWORK, NIN, NOUT,
166 $ INFO )
167*
168* -- LAPACK test routine --
169* -- LAPACK is a software package provided by Univ. of Tennessee, --
170* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
171*
172* .. Scalar Arguments ..
173 INTEGER INFO, NIN, NMATS, NMAX, NN, NOUT
174 DOUBLE PRECISION THRESH
175* ..
176* .. Array Arguments ..
177 INTEGER ISEED( 4 ), MVAL( * ), NVAL( * ), PVAL( * )
178 DOUBLE PRECISION A( * ), AF( * ), B( * ), BF( * ), RWORK( * ),
179 $ work( * ), x( * )
180* ..
181*
182* =====================================================================
183*
184* .. Parameters ..
185 INTEGER NTYPES
186 PARAMETER ( NTYPES = 8 )
187* ..
188* .. Local Scalars ..
189 LOGICAL FIRSTT
190 CHARACTER DISTA, DISTB, TYPE
191 CHARACTER*3 PATH
192 INTEGER I, IINFO, IK, IMAT, KLA, KLB, KUA, KUB, LDA,
193 $ ldb, lwork, m, modea, modeb, n, nfail, nrun, p
194 DOUBLE PRECISION ANORM, BNORM, CNDNMA, CNDNMB, RESID
195* ..
196* .. Local Arrays ..
197 LOGICAL DOTYPE( NTYPES )
198* ..
199* .. External Functions ..
200 DOUBLE PRECISION DLARND
201 EXTERNAL DLARND
202* ..
203* .. External Subroutines ..
204 EXTERNAL alahdg, alareq, alasum, dglmts, dlatb9, dlatms
205* ..
206* .. Intrinsic Functions ..
207 INTRINSIC abs
208* ..
209* .. Executable Statements ..
210*
211* Initialize constants.
212*
213 path( 1: 3 ) = 'GLM'
214 info = 0
215 nrun = 0
216 nfail = 0
217 firstt = .true.
218 CALL alareq( path, nmats, dotype, ntypes, nin, nout )
219 lda = nmax
220 ldb = nmax
221 lwork = nmax*nmax
222*
223* Check for valid input values.
224*
225 DO 10 ik = 1, nn
226 m = mval( ik )
227 p = pval( ik )
228 n = nval( ik )
229 IF( m.GT.n .OR. n.GT.m+p ) THEN
230 IF( firstt ) THEN
231 WRITE( nout, fmt = * )
232 firstt = .false.
233 END IF
234 WRITE( nout, fmt = 9997 )m, p, n
235 END IF
236 10 CONTINUE
237 firstt = .true.
238*
239* Do for each value of M in MVAL.
240*
241 DO 40 ik = 1, nn
242 m = mval( ik )
243 p = pval( ik )
244 n = nval( ik )
245 IF( m.GT.n .OR. n.GT.m+p )
246 $ GO TO 40
247*
248 DO 30 imat = 1, ntypes
249*
250* Do the tests only if DOTYPE( IMAT ) is true.
251*
252 IF( .NOT.dotype( imat ) )
253 $ GO TO 30
254*
255* Set up parameters with DLATB9 and generate test
256* matrices A and B with DLATMS.
257*
258 CALL dlatb9( path, imat, m, p, n, TYPE, kla, kua, klb, kub,
259 $ anorm, bnorm, modea, modeb, cndnma, cndnmb,
260 $ dista, distb )
261*
262 CALL dlatms( n, m, dista, iseed, TYPE, rwork, modea, cndnma,
263 $ anorm, kla, kua, 'No packing', a, lda, work,
264 $ iinfo )
265 IF( iinfo.NE.0 ) THEN
266 WRITE( nout, fmt = 9999 )iinfo
267 info = abs( iinfo )
268 GO TO 30
269 END IF
270*
271 CALL dlatms( n, p, distb, iseed, TYPE, rwork, modeb, cndnmb,
272 $ bnorm, klb, kub, 'No packing', b, ldb, work,
273 $ iinfo )
274 IF( iinfo.NE.0 ) THEN
275 WRITE( nout, fmt = 9999 )iinfo
276 info = abs( iinfo )
277 GO TO 30
278 END IF
279*
280* Generate random left hand side vector of GLM
281*
282 DO 20 i = 1, n
283 x( i ) = dlarnd( 2, iseed )
284 20 CONTINUE
285*
286 CALL dglmts( n, m, p, a, af, lda, b, bf, ldb, x,
287 $ x( nmax+1 ), x( 2*nmax+1 ), x( 3*nmax+1 ),
288 $ work, lwork, rwork, resid )
289*
290* Print information about the tests that did not
291* pass the threshold.
292*
293 IF( resid.GE.thresh ) THEN
294 IF( nfail.EQ.0 .AND. firstt ) THEN
295 firstt = .false.
296 CALL alahdg( nout, path )
297 END IF
298 WRITE( nout, fmt = 9998 )n, m, p, imat, 1, resid
299 nfail = nfail + 1
300 END IF
301 nrun = nrun + 1
302*
303 30 CONTINUE
304 40 CONTINUE
305*
306* Print a summary of the results.
307*
308 CALL alasum( path, nout, nfail, nrun, 0 )
309*
310 9999 FORMAT( ' DLATMS in DCKGLM INFO = ', i5 )
311 9998 FORMAT( ' N=', i4, ' M=', i4, ', P=', i4, ', type ', i2,
312 $ ', test ', i2, ', ratio=', g13.6 )
313 9997 FORMAT( ' *** Invalid input for GLM: M = ', i6, ', P = ', i6,
314 $ ', N = ', i6, ';', / ' must satisfy M <= N <= M+P ',
315 $ '(this set of values will be skipped)' )
316 RETURN
317*
318* End of DCKGLM
319*
320 END
subroutine alareq(PATH, NMATS, DOTYPE, NTYPES, NIN, NOUT)
ALAREQ
Definition: alareq.f:90
subroutine alahdg(IOUNIT, PATH)
ALAHDG
Definition: alahdg.f:62
subroutine alasum(TYPE, NOUT, NFAIL, NRUN, NERRS)
ALASUM
Definition: alasum.f:73
subroutine dlatb9(PATH, IMAT, M, P, N, TYPE, KLA, KUA, KLB, KUB, ANORM, BNORM, MODEA, MODEB, CNDNMA, CNDNMB, DISTA, DISTB)
DLATB9
Definition: dlatb9.f:170
subroutine dglmts(N, M, P, A, AF, LDA, B, BF, LDB, D, DF, X, U, WORK, LWORK, RWORK, RESULT)
DGLMTS
Definition: dglmts.f:146
subroutine dckglm(NN, MVAL, PVAL, NVAL, NMATS, ISEED, THRESH, NMAX, A, AF, B, BF, X, WORK, RWORK, NIN, NOUT, INFO)
DCKGLM
Definition: dckglm.f:167
subroutine dlatms(M, N, DIST, ISEED, SYM, D, MODE, COND, DMAX, KL, KU, PACK, A, LDA, WORK, INFO)
DLATMS
Definition: dlatms.f:321